The strain gradient viscoelasticity full field solution of mode-III crack problem

The size and viscosity effects are noticeable at the micro-/nano scale. In present work, strain gradient viscoelastic solution of mode-III crack in an infinite quasi-brittle advanced material is proposed based on viscoelasticity theory using Wiener–Hopf method. solutions to gradient-dependent problem obtained directly by correspondence principle between elasticity Maxwell’s standard linear solid model. this model, stress near tip time-dependent size-dependent. Besides, more significant than that theory. Compared with elastic effect, viscous effect makes field harden. location value maximum change time, which differs from case time normalized takes stabilize also changes distance tip. When neglected or tends infinity, can be reduced classical